Results 1 to 10 of about 45,430 (25)
Deformations of nonsingular Poisson varieties and Poisson invertible sheaves [PDF]
Kyoto J. Math. 60, no. 2 (2020), 511-541, 2014 In this paper, we study deformations of nonsingular Poisson varieties, deformations of Poisson invertible sheaves and simultaneous deformations of nonsingular Poisson varieties and Poisson invertible sheaves, which extend flat deformation theory of nonsingular varieties and invertible sheaves.
arxiv +1 more source
Kappa-deformed oscillators, the choice of star product and free kappa-deformed quantum fields [PDF]
J.Phys.A42:355201,2009, 2008 In order to obtain free kappa-deformed quantum fields (with c-number commutators) we proposed new concept of kappa-deformed oscillator algebra [1] and the modification of kappa-star product [2], implementing in the product of two quantum fields the change of standard kappa-deformed mass-shell conditions.
arxiv +1 more source
On cohomology and deformations of Jacobi-Jordan algebras [PDF]
arXiv, 2022 In this paper we study cohomology and deformations of Jacobi-Jordan algebras. We develop their formal deformation theory. In particular, we introduce a method to construct a versal deformation for a given Jacobi-Jordan algebra, which can induce all deformations and is unique on the infinitesimal level.
arxiv
Cohomology and Deformation of Leibniz Superalgebras [PDF]
arXiv, 2021 In this article, we introduce a deformation cohomology of Leibniz superalgebras. Also, we introduce formal deformation theory of Leibniz superalgebras. Using deformation cohomology we study the formal deformation theory of Leibniz superalgebras.
arxiv
Connes-Landi Deformation of Spectral Triples [PDF]
Lett.Math.Phys. 94 (2010) 263-291, 2010 We describe a way to deform spectral triples with a 2-torus action and a real deformation parameter, motivated by deformation of manifolds after Connes-Landi. Such deformations are shown to have naturally isomorphic $K$-theoretic invariants independent of the deformation parameter.
arxiv +1 more source
Deformed Hyperkähler Structure for K3 Surfaces [PDF]
arXiv, 2002 We apply the method of algebraic deformation to N-tuple of algebraic K3 surfaces. When N=3, we show that the deformed triplet of algebraic K3 surfaces exhibits a deformed hyperk\"{a}hler structure. The deformation moduli space of this family of noncommutatively deformed K3 surfaces turns out to be of dimension 57, which is three times of that of ...
arxiv
Unified $(p,q;α,β,ν;γ)-$deformed oscillator algebra: irreducible representations and induced deformed harmonic oscillator [PDF]
, 2011 A new deformed canonical commutation relation, generalizing various known deformations, is defined together with its structure function of deformation. Then, the related irreducible representations are characterized and classified. Finally, the discrete spectrum of the corresponding deformed harmonic oscillator Hamiltonian is investigated and discussed.
arxiv +1 more source
Valued Deformations of Algebras [PDF]
arXiv, 2002 We develop the notion of deformations using a valuation ring as ring of coefficients. This permits to consider in particular the classical Gerstenhaber deformations of associative or Lie algebras as infinitesimal deformations and to solve the equation of deformations in a polynomial frame.
arxiv
Deformations of holomorphic Poisson maps [PDF]
arXiv, 2015 In this paper, we study deformations of holomorphic Poisson maps which extend Horikawa's series of papers on deformations of holomorphic maps in the context of holomorphic Poisson deformations. In appendices, we present deformations of Poisson morphisms in the language of functors of Artin rings which is the algebraic version of deformations of ...
arxiv
Three deformation functors for associative algebras [PDF]
arXiv, 2005 We show that three deformation functors (deformations of the product, flat deformations and deformations of the relations) assigned to an associative algebra are naturally isomorphic.
arxiv